document.write( "Question 1166399: he lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.6 and 51.9 min. \n" ); document.write( "
Algebra.Com's Answer #790907 by themasterofcircuits(27)\"\" \"About 
You can put this solution on YOUR website!
The PDF of the Continuous Uniform Distribution is given by: \"f%28x%29=1%2F%28b-a%29\", where b is the highest value of x and a is the lowest value of x. Here, we have a PDF of \"f%28x%29=1%2F%2852.0-50.0%29\", so \"f%28x%29=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "To find \"P%2850.6%3Cx%3C51.9+%29\":\r
\n" ); document.write( "\n" ); document.write( "\"P%2850.6%3Cx%3C51.9%29\" = \"%281%2F2%29%2A%2851.9-50.6%29\" = \"%281%2F2%29%2A%281.3%29\" = 0.65\r
\n" ); document.write( "\n" ); document.write( "Hence, \"P%2850.6%3Cx%3C51.9+%29=0.65\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );